中大機構典藏-NCU Institutional Repository-提供博碩士論文、考古題、期刊論文、研究計畫等下載:Item 987654321/68901
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 70548/70548 (100%)
造访人次 : 23144941      在线人数 : 471
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜寻范围 查询小技巧:
  • 您可在西文检索词汇前后加上"双引号",以获取较精准的检索结果
  • 若欲以作者姓名搜寻,建议至进阶搜寻限定作者字段,可获得较完整数据
  • 进阶搜寻


    jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/68901


    题名: Mathematical Modeling and Numerical Simulation for Application of DCE-MRI in Early Detection of Chronic Liver Disease
    作者: 簡正軒;Jain,Cheng-Hsuan
    贡献者: 數學系
    关键词: 肝臟纖維化;有限元素法
    日期: 2015-08-18
    上传时间: 2015-09-23 14:46:13 (UTC+8)
    出版者: 國立中央大學
    摘要: 肝臟疾病在台灣排名為前十大死亡原因之一。一般來說,肝臟疾病可以分為三個階段,分別為肝纖維化,肝硬化及肝癌。此研究中我們專注的臨床應用是透過DCE-MRI所測得在肝臟內不同時間的顯影劑濃度然後建立一個肝臟血流數學模型,藉此找到一個有效的參數可以去區別不同期的肝纖維化程度。我們假設肝臟裡的構造是種多孔介性界質且血液是穩態的牛頓流體,在數學方程式方面,我們使用Darcy equation 搭配 unsteady convective-diffusive equation。在離散化方面,對於空間上的離散使用stabilized finite element method,而時間上的離散則使用 implicit backward Euler finite difference method。最後我們發現 porosity 是個有效的指標來區別不同的期的肝纖維化程度。;Liver diseases are always on the list of the top 10 causes of death in Taiwan. Generally speaking, the progression of liver disease can be classified into three stages, including liver fibrosis, liver cirrhosis, and liver cancer. Recently, using the noninvasive Dynamic Contrast Enhanced MRI (DCE-MRI) technique for the early detection of chronic liver disease is quite promising. The research focus for clinical application is to define some index related to the relative signal enhancement in a liver to identify the degree of liver fibrosis. In reach the goal, we build both of the mathematical models for blood flows through the liver and the relative signal enhancement scanned by MRI varied with respect to time. Under assumptions that liver is a kind of porous medium, and the blood flow is Newtonian, Laminar, in steady state, the governing equations consist of the Darcy equation weakly coupled with unsteady convective-diffusive equation. The stabilized finite element Darcy solver together with time-dependent convective-diffusive solver are verified by a case with analytical solution and the mathematical models are validated by the experiment of fluid flow through the sponge. In addition, our numerical result is consistent with the clinical data. Finally, we find the porosity is potentially to be a good index to identify the degree of liver fibrosis.
    显示于类别:[數學研究所] 博碩士論文

    文件中的档案:

    档案 描述 大小格式浏览次数
    index.html0KbHTML583检视/开启


    在NCUIR中所有的数据项都受到原著作权保护.

    社群 sharing

    ::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期:8-24-2009 :::
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回馈  - 隱私權政策聲明